We perform numerical experiments of test particle acceleration on turbulent magnetic and electric fields obtained from pseudospectral direct numerical solutions of the compressible three-dimensional MHD equations. We find consistent acceleration of the particles to many times the plasma characteristic (Alfven) speed and extended power laws in the density distribution of energies. Scaling laws of maximum and mean energy of particles with the nominal gyrofrequency and the MHD electric field are observed and a simple estimate is presented.
P. Dmitruk, W. H. Matthaeus, N. Seenu, and Michael R. Brown.
"Test Particle Acceleration In Three-Dimensional Magnetohydrodynamic Turbulence".